Progress with Multigrid Schemes for Hypersonic Flow Problems

✍ Scribed by R. Radespiel; R.C. Swanson

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 865 KB
• Volume: 116
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1995.1009

✦ Synopsis

Several multigrid schemes are considered for the numerical computation of viscous hypersonic flows. For each scheme, the basic solution algorithm employs upwind spatial discretization with explicit multistage time stepping. Two-level versions of the various multigrid algorithms are applied to the two-dimensional advection equation, and Fourier analysis is used to determine their damping properties. The capabilities of the multigrid methods are assessed by solving three different hypersonic flow problems. Some new multigrid schemes based on semicoarsening strategies are shown to be quite effective in relieving the stiffness caused by the highaspect-ratio cells required to resolve high Reynolds number flows. These schemes exhibit good convergence rates for Reynolds numbers up to (200 \times 10^{8}) and Mach numbers up to 25. 1995 Academic Press, Inc.